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Finding the Fourth Proportional to 376.82, 519.78 and 229.40

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Solution

The fourth proportional to 376.82, 519.78 and 229.40 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.82 : 519.78 = 229.40 : x
  2. Step 2: Convert to fraction form
    376.82/519.78 = 229.40/x
  3. Step 3: Cross multiply
    376.82x = 519.78 × 229.40
  4. Step 4: Simplify right side
    376.82x = 119,237.53
  5. Step 5: Solve for x
    x = 119,237.53/376.82
  6. Step 6: Final answer
    x = 316.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.